Least Common Multiple of 1653/458, 9242/1622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1653/458, 9242/1622 quickly i.e. 7638513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1653/458, 9242/1622 is 7638513.

LCM(1653/458, 9242/1622) = 7638513

LCM of 1653/458, 9242/1622

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1653/458,9242/1622

Given numbers are 1653/458,9242/1622

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 1653,9242

Least Common Multiple of Numerators i.e. LCM of 1653,9242 is 15277026.

GCF of Denominators means GCF of 458,1622 as per the given fractions.

GCF of 458,1622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1653,9242

LCM of Fractions 1653/458,9242/1622 is 7638513

Given numbers has no common factors except 1. So, there LCM is their product i.e 15277026

Least Common Multiple of 1653,9242 with GCF Formula

Least Common Multiple of 1653,9242 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1653,9242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1653,9242) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1653,9242) x common factors =1 x 1 = 1

LCM(1653,9242) = ( 1653 × 9242 ) / 1

LCM(1653,9242) = 15277026 / 1

LCM(1653,9242) = 15277026


Lets's calculate GCF of 458,1622

2 458, 1622
229, 811

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15277026/2

Therefore the LCM of Fractions 1653/458,9242/1622 is 7638513

Greatest Common Factor of 458,1622 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,1622 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 1622

List of positive integer factors of 1622 that divides 1622 without a remainder.

1,2,811,1622

Greatest Common Factor

We found the factors 458,1622 . The biggest common factor number is the GCF number.
So the greatest common factor 458,1622 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1653/458, 9242/1622

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 1653/458, 9242/1622?

Answer: LCM of Numerators as per given numbers 1653/458, 9242/1622 is

LCM of Numerators i.e. for 1653,9242 is 15277026

GCF of denominators i.e. for 458,1622 is 2.

Thus, LCM of Fractions is 7638513.Finally, LCM of Fractions for 1653/458, 9242/1622 is 7638513.